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Pith Number

pith:SWFPJ2LE

pith:2009:SWFPJ2LEX7F6FRJHHND5Y37YDR
not attested not anchored not stored refs pending

Thermodynamics of the Universe Filled with Perfect Fluid Having Variable Equation of State

Nairwita Mazumder, Subenoy Chakraborty

arxiv:0907.2798 v1 · 2009-07-16 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SWFPJ2LEX7F6FRJHHND5Y37YDR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T02:34:38.733329Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

958af4e964bfcbe2c5273b47dc6ff81c5f1f6f516c010a1c7669839dedc9e4f9

Aliases

arxiv: 0907.2798 · arxiv_version: 0907.2798v1 · doi: 10.48550/arxiv.0907.2798 · pith_short_12: SWFPJ2LEX7F6 · pith_short_16: SWFPJ2LEX7F6FRJH · pith_short_8: SWFPJ2LE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SWFPJ2LEX7F6FRJHHND5Y37YDR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 958af4e964bfcbe2c5273b47dc6ff81c5f1f6f516c010a1c7669839dedc9e4f9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7dfd4f0218283d3f5c657861739858fd3cb89312b9e4e44fcd1f99955a59776b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-07-16T09:45:34Z",
    "title_canon_sha256": "32b2379482129113cdbd6753130f0223d47dfcb46749d6c856367f31b159d274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2798",
    "kind": "arxiv",
    "version": 1
  }
}